diff --git a/Lib/test/test_fileinput.py b/Lib/test/test_fileinput.py
index 27ceaf6719c..76e4d16841f 100644
--- a/Lib/test/test_fileinput.py
+++ b/Lib/test/test_fileinput.py
@@ -8,11 +8,15 @@ import re
 import fileinput
 import collections
 import gzip
-import bz2
 import types
 import codecs
 import unittest
 
+try:
+    import bz2
+except ImportError:
+    bz2 = None
+
 from io import StringIO
 from fileinput import FileInput, hook_encoded
 
@@ -765,6 +769,7 @@ class Test_hook_compressed(unittest.TestCase):
         self.assertEqual(self.fake_open.invocation_count, 1)
         self.assertEqual(self.fake_open.last_invocation, (("test.gz", 3), {}))
 
+    @unittest.skipUnless(bz2, "Requires bz2")
     def test_bz2_ext_fake(self):
         original_open = bz2.BZ2File
         bz2.BZ2File = self.fake_open